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A051162 Triangle T(n,k) = n+k, n >= 0, 0<=k<=n. +0
8
0, 1, 2, 2, 3, 4, 3, 4, 5, 6, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 12, 7, 8, 9, 10, 11, 12, 13, 14, 8, 9, 10, 11, 12, 13, 14, 15, 16, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 (list; table; graph; listen)
OFFSET

0,3

COMMENT

Row sums are A045943 = triangular matchstick numbers: 3n(n+1)/2. This was independently noted by myself and, without cross-reference, as a comment on A045943, by Jon Perry (perry(AT)globalnet.co.uk), Jan 15 2004. - Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 09 2007

In partitions of n into distinct parts having maximal size, a(n) is the greatest number, see A000009. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 13 2009]

EXAMPLE

0; 1,2; 2,3,4; 3,4,5,6; 4,5,6,7,8; ...

CROSSREFS

Cf. A025581, A004736.

Cf. A025581, A004736, A045943.

Sequence in context: A063712 A106251 A134478 this_sequence A122872 A132919 A162619

Adjacent sequences: A051159 A051160 A051161 this_sequence A051163 A051164 A051165

KEYWORD

nonn,tabl,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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